Title
Modeling of multi-server repair problem with switching failure and reboot delay and related profit analysis
Abstract
This study examines a warm-standby machine repair problem which involves a switching failure probability, reboot delay and a repair pressure coefficient. The machine repair problem has M operating machines with W warm standbys and R repairpersons. When all repairpersons are busy and waiting line is very long (heavy loading), the repairpersons increase their repair rate to reduce the queue length because of the pressure. This phenomenon is very common in many realistic service systems. A matrix-analytic method is adopted to develop a function of the steady-state expected profit per unit time. The probabilistic global search Lausanne (PGSL) method is employed to determine the joint optimal parameter values that maximize the profit and satisfy the availability constraint. Some numerical results of various system performance measures under optimal operating conditions are presented. Finally, several managerial insights are provided by demonstrating an example of the application to assist system analysts for decision making.
Year
DOI
Venue
2014
10.1016/j.cie.2013.12.003
Computers & Industrial Engineering
Keywords
Field
DocType
m operating machine,repair pressure coefficient,r repairpersons,repair rate,optimal operating condition,joint optimal parameter value,reboot delay,multi-server repair problem,warm-standby machine repair problem,related profit analysis,machine repair problem,realistic service system,matrix-analytic method
Reboot,Mathematical optimization,Multi server,Queue,Repair rate,Pressure coefficient,Engineering,Probabilistic logic,Operations management
Journal
Volume
ISSN
Citations 
69,
0360-8352
9
PageRank 
References 
Authors
0.65
15
4
Name
Order
Citations
PageRank
y l hsu1516.71
Jau-Chuan Ke234844.17
Tzu-hsin Liu3387.55
Chia-Huang Wu46211.61